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Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities

Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities

We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i.e., (p − 1)-sublinear) term and a Carathéodory perturbation. We study the cases where the Carathéodory perturbation is (p − 1)-linear and (p − 1)-superlinear near +∞. Using variational techniques based on the critical point theory together with …